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Popular >

integral from-1 to 2 of x^2-3x-1

Solution

\int_{- 1}^{2} x^{2} - 3 x - 1 d x

Solution

- \frac{9}{2}

+1

Decimal

- 4.5

Solution steps

\int_{- 1}^{2} x^{2} - 3 x - 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{2} x^{2} d x - \int_{- 1}^{2} 3 x d x - \int_{- 1}^{2} 1 d x

\int_{- 1}^{2} x^{2} d x = 3

\int_{- 1}^{2} 3 x d x = \frac{9}{2}

\int_{- 1}^{2} 1 d x = 3

= 3 - \frac{9}{2} - 3

Simplify

= - \frac{9}{2}

Graph

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integral from 1/2 to 1 of 1/(x^2)

\int_{\frac{1}{2}}^{1} \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x^2-3x-1 ?
The integral from-1 to 2 of x^2-3x-1 is -9/2